What is the Least Common Multiple of 62494 and 62501?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 62494 and 62501 is 3905937494.
LCM(62494,62501) = 3905937494
Least Common Multiple of 62494 and 62501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62494 and 62501, than apply into the LCM equation.
GCF(62494,62501) = 1
LCM(62494,62501) = ( 62494 × 62501) / 1
LCM(62494,62501) = 3905937494 / 1
LCM(62494,62501) = 3905937494
Least Common Multiple (LCM) of 62494 and 62501 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62494 and 62501. First we will calculate the prime factors of 62494 and 62501.
Prime Factorization of 62494
Prime factors of 62494 are 2, 31247. Prime factorization of 62494 in exponential form is:
62494 = 21 × 312471
Prime Factorization of 62501
Prime factors of 62501 are 62501. Prime factorization of 62501 in exponential form is:
62501 = 625011
Now multiplying the highest exponent prime factors to calculate the LCM of 62494 and 62501.
LCM(62494,62501) = 21 × 312471 × 625011
LCM(62494,62501) = 3905937494
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